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Finding the Fourth Proportional to 102,993.40, 154,223.70 and 86,313.40

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Solution

The fourth proportional to 102,993.40, 154,223.70 and 86,313.40 is: 129,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.40 : 154,223.70 = 86,313.40 : x
  2. Step 2: Convert to fraction form
    102,993.40/154,223.70 = 86,313.40/x
  3. Step 3: Cross multiply
    102,993.40x = 154,223.70 × 86,313.40
  4. Step 4: Simplify right side
    102,993.40x = 13,311,571,907.58
  5. Step 5: Solve for x
    x = 13,311,571,907.58/102,993.40
  6. Step 6: Final answer
    x = 129,246.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.